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A hierarchical equations of motion (HEOM) based numerical approach is developed for accurate and efficient evaluation of dynamical observables of strongly correlated quantum impurity systems. This approach is capable of describing…

强关联电子 · 物理学 2013-01-28 ZhenHua Li , NingHua Tong , Xiao Zheng , Dong Hou , JianHua Wei , Jie Hu , YiJing Yan

The dynamics of a quantum system coupled to a classical environment and subject to constraints that drive it out of equilibrium is described. The evolution of the system is governed by the quantum-classical Liouville equation. Rather than…

统计力学 · 物理学 2025-01-15 Jeremy Schofield , Raymond Kapral

A nonperturbative quantum impurity solver is proposed based on a formally exact hierarchical equations of motion (HEOM) formalism for open quantum systems. It leads to quantitatively accurate evaluation of physical properties of strongly…

强关联电子 · 物理学 2014-08-04 Dong Hou , Rulin Wang , Xiao Zheng , NingHua Tong , JianHua Wei , YiJing Yan

The problem of response of nonequilibrium systems is currently under intense investigation. We propose a general method of solution of the Liouville Equation for thermostatted particle systems subjected to external forces which retains only…

统计力学 · 物理学 2011-01-19 Matteo Colangeli

The approach to the analysis of the dynamic of non-equilibrium open systems within the framework of the laws of classical mechanics on the example a hard-disks is offered. This approach was based on Hamilton and Liouville generalized…

统计力学 · 物理学 2007-05-23 V. M. Somsikov

Many important properties of granular fluids can be represented by a system of hard spheres with inelastic collisions. Traditional methods of nonequilibrium statistical mechanics are effective for analysis and description of the inelastic…

软凝聚态物质 · 物理学 2009-11-07 James W. Dufty , J. Javier Brey , James Lutsko

In this paper we present a new quantum-trajectory based treatment of quantum dynamics suitable for dissipative systems. Starting from a de Broglie/Bohm-like representation of the quantum density matrix, we derive and define quantum…

量子物理 · 物理学 2007-05-23 Jeremy B. Maddox , Eric R. Bittner

Nonperturbative dynamic theory has a particular advantage in studying the transport in a quantum impurity system in a steady state. Here, we develop a new approach for obtaining the retarded Green's function expressed in resolvent form. We…

介观与纳米尺度物理 · 物理学 2009-11-30 Jongbae Hong

Quantum dynamics for arbitrary system are traditionally realized by time evolutions of wave functions in Hilbert space and/or density operators in Liouville space. However, the traditional simulations may occasionally turn out to be…

量子物理 · 物理学 2023-04-20 Gombojav O. Ariunbold

We simulate the nonequilibrium dynamics of two generic many-body quantum impurity models by employing the recently developed iterative influence-functional path integral method [Phys. Rev. B {\bf 82}, 205323 (2010)]. This general approach…

介观与纳米尺度物理 · 物理学 2017-09-13 Dvira Segal , Andrew J. Millis , David R. Reichman

Recent work has revealed a general procedure for incorporating disorder into the semiclassical model of carrier transport, whereby the predictions of quantum linear response theory can be recovered within a quantum kinetic approach based on…

介观与纳米尺度物理 · 物理学 2025-03-10 M. Mehraeen

A novel quantum dynamical method to simulate vibronic reaction dynamics in molecules at metal surfaces is proposed. The method is based on the hierarchical quantum master equation approach and uses a discrete variable representation of the…

化学物理 · 物理学 2019-12-05 A. Erpenbeck , M. Thoss

A nonperturbative theory is developed, aiming at an exact and efficient evaluation of a general quantum system interacting with arbitrary bath environment at any temperature and in the presence of arbitrary time-dependent external fields.…

统计力学 · 物理学 2007-05-23 Rui-Xue Xu , YiJing Yan

The description of interacting quantum impurity models in steady-state nonequilibrium is an open challenge for computational many-particle methods: the numerical requirement of using a finite number of lead levels and the physical…

The reduced dynamics formalism has recently emerged as a powerful tool to study the dynamics of non-equilibrium quantum impurity models in strongly correlated regimes. Examples include the non-equilibrium Anderson impurity model near the…

介观与纳米尺度物理 · 物理学 2013-07-10 Guy Cohen , Eli Y. Wilner , Eran Rabani

Often quantum systems are not isolated and interactions with their environments must be taken into account. In such open quantum systems these environmental interactions can lead to decoherence and dissipation, which have a marked influence…

量子物理 · 物理学 2016-11-14 Raymond Kapral

A versatile and efficient variational approach is developed to solve in- and out-of-equilibrium problems of generic quantum spin-impurity systems. Employing the discrete symmetry hidden in spin-impurity models, we present a new canonical…

强关联电子 · 物理学 2018-07-13 Yuto Ashida , Tao Shi , Mari Carmen Bañuls , J. Ignacio Cirac , Eugene Demler

Finite-time coherent sets represent minimally mixing objects in general nonlinear dynamics, and are spatially mobile features that are the most predictable in the medium term. When the dynamical system is subjected to small parameter…

动力系统 · 数学 2021-04-14 Fadi Antown , Gary Froyland , Oliver Junge

The quantum-classical Liouville equation offers a rigorous approach to nonadiabatic quantum dynamics based on surface hopping type trajectories. However, in practice the applicability of this approach has been limited to short times owing…

化学物理 · 物理学 2015-06-16 Aaron Kelly , Thomas E. Markland

Impurity motion in one dimensional ultra cold quantum liquids confined in an optical trap has attracted much interest recently. As a step towards its full understanding, we construct a generating functional from which we derive the position…

量子气体 · 物理学 2012-09-11 Julius Bonart , Leticia F. Cugliandolo
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